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Comment:Complete rewrite: now uses 4 port R as basis
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SHA3-256: ee54506180a2e8826bd106bf327b4428cff540508daf0465167df952bc2adb62
User & Date: gawthrop@users.sourceforge.net on 2001-07-06 08:06:37
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Context
2001-07-06
08:07:45
Added rep for documentation check-in: 52abf1ed63 user: gawthrop@users.sourceforge.net tags: origin/master, trunk
08:06:37
Complete rewrite: now uses 4 port R as basis check-in: ee54506180 user: gawthrop@users.sourceforge.net tags: origin/master, trunk
04:10:26
Fixed bug: lin -->slin check-in: d2a9f2e847 user: gawthrop@users.sourceforge.net tags: origin/master, trunk
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Modified mttroot/mtt/lib/comp/compound/Sensitivity/sRS/sRS_abg.fig from [623d1834b5] to [530171f10a]. 

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#FIG 3.2
Portrait
Center
Metric
A4      
100.00
Single
-2
1200 2
2 1 0 2 0 7 100 0 -1 0.000 0 0 -1 0 0 3
	 2475 1575 3825 1575 3600 1800
2 1 0 2 0 7 100 0 -1 0.000 0 0 -1 0 0 3
	 4275 1575 5625 1575 5400 1800
2 1 0 2 0 7 100 0 -1 0.000 0 0 -1 0 0 3
	 6075 1575 7425 1575 7200 1800
2 1 0 2 0 7 100 0 -1 0.000 0 0 -1 0 0 3
	 4050 3600 4050 4950 3825 4725
2 1 0 2 0 7 100 0 -1 0.000 0 0 -1 0 0 3
	 5850 3600 5850 4950 5625 4725
2 1 0 2 0 7 100 0 -1 0.000 0 0 -1 0 0 3
	 4050 6750 4050 5400 3825 5625
2 1 0 2 0 7 100 0 -1 0.000 0 0 -1 0 0 3
	 5850 6750 5850 5400 5625 5625
2 1 0 2 0 7 100 0 -1 0.000 0 0 -1 0 0 3
	 5872 1822 5872 3172 5647 2947
2 1 0 2 0 7 100 0 -1 0.000 0 0 -1 0 0 3
	 4050 1800 4050 3150 3825 2925
2 1 0 2 0 7 100 0 -1 0.000 0 0 -1 0 0 3
	 4050 8550 4050 7200 3825 7425
2 1 0 2 0 7 100 0 -1 0.000 0 0 -1 0 0 2
	 3825 1350 3825 1800
2 1 0 2 0 7 100 0 -1 0.000 0 0 -1 0 0 3
	 4275 8775 5625 8775 5400 9000
2 1 0 2 0 7 100 0 -1 0.000 0 0 -1 0 0 3
	 2475 8775 3825 8775 3600 9000
2 1 0 2 0 7 100 0 -1 0.000 0 0 -1 0 0 2
	 3825 8550 3825 9000
2 1 0 2 0 7 100 0 -1 0.000 0 0 -1 0 0 3
	 5850 8550 5850 7200 5625 7425
2 1 0 2 0 7 100 0 -1 0.000 0 0 -1 0 0 2
	 3825 4950 3825 5400
2 1 0 2 0 7 100 0 -1 0.000 0 0 -1 0 0 3
	 3825 5175 2475 5175 2700 5400
2 4 0 2 31 7 101 0 -1 0.000 0 0 7 0 0 5
	 13050 9225 675 9225 675 1125 13050 1125 13050 9225
2 1 0 2 0 7 50 0 -1 0.000 0 0 -1 0 0 3
	 6075 1800 7425 3150 7200 3150
2 1 0 2 0 7 100 0 -1 0.000 0 0 -1 0 0 3
	 7875 1575 9225 1575 9000 1800
2 1 0 2 0 7 50 0 -1 0.000 0 0 -1 0 0 4
	 6075 8775 7650 8775 7650 3600 7875 3825
2 1 0 2 0 7 100 0 -1 0.000 0 0 -1 0 0 3
	 9450 1822 9450 3172 9225 2947
2 1 0 2 0 7 100 0 -1 0.000 0 0 -1 0 0 3
	 9450 3600 9450 4950 9225 4725
2 1 0 2 0 7 100 0 -1 0.000 0 0 -1 0 0 2
	 9675 3150 9675 3600
2 1 0 2 0 7 100 0 -1 0.000 0 0 -1 0 0 3
	 9675 3375 11025 3375 10800 3600
2 1 0 2 0 7 100 0 -1 0.000 0 0 -1 0 0 3
	 9225 5175 6075 5175 6300 5400
4 2 4 100 0 18 18 0.0000 4 270 870 2430 1665 SS:[In]\001
4 1 0 100 0 18 18 0.0000 4 195 150 4050 1665 0\001
4 1 0 100 0 18 18 0.0000 4 195 150 5850 1665 1\001
4 1 0 100 0 18 18 0.0000 4 210 375 4050 3510 AE\001
4 1 0 100 0 18 18 0.0000 4 210 585 4950 5265 R:ss\001
4 1 4 100 0 18 14 0.0000 4 210 270 4275 4905 [1]\001
4 1 4 100 0 18 14 0.0000 4 210 270 4275 5580 [3]\001
4 1 4 100 0 18 14 0.0000 4 210 270 6075 4905 [2]\001
4 1 4 100 0 18 14 0.0000 4 210 270 6075 5580 [4]\001
4 1 0 100 0 18 18 0.0000 4 210 375 5850 3510 AF\001
4 1 0 100 0 18 18 0.0000 4 210 375 4095 7065 AE\001
4 1 0 100 0 18 18 0.0000 4 210 375 5850 7065 AF\001
4 2 4 100 0 18 18 0.0000 4 270 1020 2430 8865 SS:[sIn]\001
4 1 0 100 0 18 18 0.0000 4 195 150 4050 8865 0\001
4 1 0 100 0 18 18 0.0000 4 195 150 5850 8865 1\001
4 2 4 100 0 18 18 0.0000 4 270 1275 2385 5265 SS:[sOut]\001
4 0 4 100 0 18 14 0.0000 4 210 270 3870 5220 [6]\001
4 2 4 100 0 18 14 0.0000 4 210 270 6030 5220 [5]\001
4 1 0 100 0 18 18 0.0000 4 210 690 7650 3510 sR:sr\001
4 1 0 100 0 18 18 0.0000 4 210 375 7650 1665 AF\001
4 1 0 100 0 18 18 0.0000 4 210 720 9675 1665 RS:rs\001
4 1 0 100 0 18 18 0.0000 4 195 150 9495 3465 0\001
4 1 0 100 0 18 18 0.0000 4 210 375 9495 5265 AE\001
4 0 4 100 0 18 18 0.0000 4 270 1125 11115 3465 SS:[Out]\001
4 2 4 100 0 18 14 0.0000 4 210 1215 7515 3780 [sensitivity]\001
4 0 4 100 0 18 14 0.0000 4 210 780 7650 3105 [actual]\001











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#FIG 3.2
Portrait
Center
Metric
A4      
100.00
Single
-2
1200 2
2 1 0 2 0 7 100 0 -1 0.000 0 0 -1 0 0 3
	 2700 675 4050 675 3825 900
2 1 0 2 0 7 100 0 -1 0.000 0 0 -1 0 0 3








	 2700 1350 4050 1350 3825 1575
2 1 0 2 0 7 100 0 -1 0.000 0 0 -1 0 0 2




	 4050 1125 4050 1575
2 1 0 2 0 7 100 0 -1 0.000 0 0 -1 0 0 2
	 4050 450 4050 900
2 4 0 2 31 7 101 0 -1 0.000 0 0 7 0 0 5
	 9900 1800 1350 1800 1350 225 9900 225 9900 1800
2 1 0 2 0 7 100 0 -1 0.000 0 0 -1 0 0 3






	 4725 675 6075 675 5850 900


2 1 0 2 0 7 100 0 -1 0.000 0 0 -1 0 0 3




	 4725 1350 6075 1350 5850 1575
2 1 0 2 0 7 100 0 -1 0.000 0 0 -1 0 0 2






	 4725 1125 4725 1575
2 1 0 2 0 7 100 0 -1 0.000 0 0 -1 0 0 2




	 4725 450 4725 900
4 1 4 100 0 18 18 0.0000 4 270 870 2115 765 SS:[In]\001


4 1 4 100 0 18 18 0.0000 4 270 1020 2115 1395 SS:[sIn]\001
4 1 0 100 0 18 24 0.0000 4 285 510 4410 1125 R:r\001
4 1 4 100 0 18 14 0.0000 4 210 270 4860 540 [2]\001
4 1 4 100 0 18 14 0.0000 4 210 270 4860 1215 [4]\001
4 1 4 100 0 18 14 0.0000 4 210 270 3870 1215 [3]\001
4 1 4 100 0 18 14 0.0000 4 210 270 3870 540 [1]\001






4 1 4 100 0 18 18 0.0000 4 270 1230 6795 765 SS:[Out]\001







4 1 4 100 0 18 18 0.0000 4 270 1380 6885 1440 SS:[sOut]\001

Modified mttroot/mtt/lib/comp/compound/Sensitivity/sRS/sRS_cr.r from [cceb618a41] to [231a2decec]. 




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%%% Sensitivity RS component CR

in "lin.cr";





















in "slin.cr";













%% Sensitivity entropy flow

FOR ALL e_r,f_r,de_r,df_r,Temp,dTemp LET

sRS(flow,6,
	e_r,effort,1,
	f_r,flow,2,
	de_r,effort,3,




	df_r,flow,4,




	Temp,effort,5,

	dTemp,effort,6
	) = ((e_r*df_r + de_r*f_r)*Temp - e_r*f_r*dTemp)/(Temp^2);





END;

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%% CR file for sFMR
%% Just for flow input definition of r, ie must use with flow,r;k_s
in "$MTT_CRS/r/slin.cr";

OPERATOR sRS;

% Ordinary RS port
% R component
FOR ALL gain_cause,r,rs,out_cause,inp,sinp,in_cause,temp,stemp
LET sRS(gain_cause,r,rs,out_cause,1,
	inp,in_cause,1,
	temp,effort,2,
	sinp,in_cause,3,
	stemp,effort,4
	) 
        = lin(gain_cause,r,temp_cause,1,
               inp,in_cause,1);
% Entropy flow 
FOR ALL gain_cause,r,rs,out_cause,inp,sinp,in_cause,temp,stemp
LET sRS(gain_cause,r,rs,out_cause,2,
	inp,in_cause,1,
	temp,effort,2,
	sinp,in_cause,3,
	stemp,effort,4
	) 
        = lin(gain_cause,r,temp_cause,1,
               inp,in_cause,1)/temp;

% Sensitivity ports
FOR ALL gain_cause,r,rs,out_cause,inp,sinp,in_cause,temp,stemp
LET sRS(gain_cause,r,rs,out_cause,3,
	inp,in_cause,1,
	temp,effort,2,
	sinp,in_cause,3,
	stemp,effort,4
	) 
        = slin(gain_cause,r,rs,temp_cause,2,
               inp,in_cause,1,
               sinp,in_cause,2
        );

%% Sensitivity entropy flow
%% - flow in
FOR ALL gain_cause,r,rs,out_cause,inp,sinp,in_cause,temp,stemp
LET sRS(gain_cause,r,rs,out_cause,4,
	inp,flow,1,
	temp,effort,2,
	sinp,flow,3,
	stemp,effort,4
	) 
        = 2*inp*sinp*r/temp
        + (inp^2)*rs/temp
        - (inp^2)*r*temps/(temp^2);

%% - effort in
FOR ALL gain_cause,r,rs,out_cause,inp,sinp,in_cause,temp,stemp
LET sRS(gain_cause,r,rs,out_cause,4,
	inp,effort,1,
	temp,effort,2,
	sinp,effort,3,
	stemp,effort,4

	) 
        = 2*inp*sinp/(r*temp)
        - (inp^2)*rs/((r^2)*temp)
        - (inp^2)*stemp/(r*temp^2);

END;

Modified mttroot/mtt/lib/comp/compound/Sensitivity/sRS/sRS_desc.tex from [2d9c98c66e] to [891b367d21]. 

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% -*-latex-*- Put EMACS into LaTeX-mode
% Verbal description for system sRS (sRS_desc.tex)
% Generated by MTT on Tue Jul 3 04:04:25 BST 2001.

% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %% Version control history
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %% $Id$
% %% $Log$



% %% Revision 1.1  2000/12/28 09:13:38  peterg
% %% Initial revision
% %%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

   The acausal bond graph of system \textbf{sRS} is
   displayed in Figure \Ref{fig:sRS_abg.ps} and its label
   file is listed in Section \Ref{sec:sRS_lbl}.
   The subsystems are listed in Section \Ref{sec:sRS_sub}.

   This component implements the \emph{sensitivity} component
   corresponding to the \textbf{RS} component.
   \begin{itemize}
   \item The non-thermal side is just the sensitivity R component
     \textbf{sR}.
   \item The thermal side implements:
     \begin{equation}
      \dot{s} = \frac{ef}{T}
     \end{equation}




     \begin{equation}
      {\dot{s}}^\prime = \frac{(e^\prime f + ef^\prime)T - efT^\prime }{T^2}
     \end{equation}
     where the prime indicates the derivative with respect to the
     sensitivity parameter.
   \end{itemize}


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% -*-latex-*- Put EMACS into LaTeX-mode
% Verbal description for system sRS (sFMR_desc.tex)
% Generated by MTT on Thu Jul 5 23:47:35 BST 2001.

% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %% Version control history
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %% $Id$
% %% $Log$
% %% Revision 1.1  2001/07/06 01:17:14  gawthrop
% %% New sensitivity components (for extruder model)
% %%
% %% Revision 1.1  2000/12/28 09:13:38  peterg
% %% Initial revision
% %%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

   The acausal bond graph of system \textbf{sRS} is
   displayed in Figure \Ref{fig:sFMR_abg.ps} and its label
   file is listed in Section \Ref{sec:sFMR_lbl}.
   The subsystems are listed in Section \Ref{sec:sFMR_sub}.


This is the sensitivity version of the \textbf{FMR} (flow-modulated

resistor) component.

In the linear case, the CR of the standard port is:
\begin{equation}
  e = mrf
\end{equation}
where $e$ is the effort, $m$ the (flow) modulation, $r$ the
``resistance'' and $f$ the flow.

The corresponding sensitivity CR is:
\begin{equation}
  e^\prime  = m^\prime rf + mr^\prime f + mrf^\prime
\end{equation}

Modified mttroot/mtt/lib/comp/compound/Sensitivity/sRS/sRS_lbl.txt from [fca71f481b] to [f5d107149e]. 

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#SUMMARY sRS Sensitivity version of the RS component

## System sRS, representation lbl, language txt
## File sRS_lbl.txt
## Generated by MTT on Mon Jul  2 23:56:55 BST 2001

  ###############################################################
  ## Version control history
  ###############################################################
  ## $Id$
  ## $Log$
  ## Revision 1.2  2001/07/03 23:49:51  gawthrop
  ## Added documentation line
  ##
  ## Revision 1.1  2001/07/03 23:40:57  gawthrop
  ## New sensitivity version of the RS component
  ##
  ###############################################################

## Port aliases
#ALIAS	in	In,sIn
#ALIAS	out	Out,sOut


## Argument aliases
#ALIAS	$1	flow,r
#ALIAS	$2	k_s

## Each line should be of one of the following forms:
##	     a comment (ie starting with #)
##	     component-name	cr_name	arg1,arg2,..argn
##	     blank

## ---- Component labels ----

## Component type R
	rs	lin		flow,r		
	sr	slin		flow,r;k_s		
	ss	sRS

## Component type SS
	[In]	SS		external,external		
	[Out]	SS		external,external		
	[sIn]	SS		external,external		
	[sOut]	SS		external,external		


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#SUMMARY sRS Sensitivity version of RS


in "$MTT_CRS/r/slin.cr";








## System sRS, representation lbl, language txt






## Port aliases
#ALIAS	in	In,sIn
#ALIAS	out	Out,sOut


## Argument aliases
#ALIAS	$1	flow,r
#ALIAS	$2	r_s

## Each line should be of one of the following forms:
##	     a comment (ie starting with #)
##	     component-name	cr_name	arg1,arg2,..argn
##	     blank

## ---- Component labels ----

## Component type R
	r	sRS		flow,r,rs		



## Component type SS
	[In]	SS		external,external		
	[sIn]	SS		external,external		
	[Out]	SS		external,external		
	[sOut]	SS		external,external

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